What is (1.5*10^5)(3.18*10^{11}) ?

The solution to (1.5*10^5)(3.18*10^{11}) is 4.77E16

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simplify (1.510^5)(3.1810^{11})

simplify

(1.5 \cdot 1 0^{5}) (3.18 \cdot 1 0^{11})

4.77 E 16

Solution steps

(1.5 \cdot 1 0^{5}) (3.18 \cdot 1 0^{11})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{5} \cdot 1 0^{11} = 1 0^{5 + 11}

= 1.5 \cdot 3.18 \cdot 1 0^{5 + 11}

Add the numbers:

5 + 11 = 16

= 1.5 \cdot 3.18 \cdot 1 0^{16}

Multiply the numbers:

1.5 \cdot 3.18 = 4.77

= 1 0^{16} \cdot 4.77

Convert element to a decimal form

1 0^{16} = 1.0 E 16

= 1.0 E 16 \cdot 4.77

Multiply the numbers:

4.77 \cdot 1.0 E 16 = 4.77 E 16

= 4.77 E 16

3^{x} \cdot 4^{x}

What is (1.5*10^5)(3.18*10^{11}) ?
The solution to (1.5*10^5)(3.18*10^{11}) is 4.77E16